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arXiv · 2206.03748

Normalized solutions for the Klein Gordon-Dirac system

Vittorio Coti Zelati·Margherita Nolasco
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Abstract

We prove the existence of a stationary solution for the system describing the interaction between an electron coupled with a massless scalar field (a photon). We find a solution, with fixed $L^{2}$-norm, by variational methods, as a critical point of an energy functional.

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Vittorio Coti Zelati, Margherita Nolasco. 2022-06-08. Normalized solutions for the Klein Gordon-Dirac system. https://doi.org/10.4171/rlm%2F999

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